100001122221100 has 72 divisors (see below), whose sum is σ = 219039985418688. Its totient is φ = 39624896001600.

The previous prime is 100001122221097. The next prime is 100001122221241. The reversal of 100001122221100 is 1122221100001.

100001122221100 is a modest number, since divided by 1122221100 gives 100 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262719519 + ... + 263099881.

It is an arithmetic number, because the mean of its divisors is an integer number (3042222019704).

Almost surely, 2^{100001122221100} is an apocalyptic number.

100001122221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001122221100 is an abundant number, since it is smaller than the sum of its proper divisors (119038863197588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100001122221100 is a wasteful number, since it uses less digits than its factorization.

100001122221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405055 (or 405048 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100001122221100 its reverse (1122221100001), we get a palindrome (101123343321101).

The spelling of 100001122221100 in words is "one hundred trillion, one billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred".